Hello, comrades. In the first two lectures, we discussed the concept of analytic expressions and the problem of partial fractions. Analytical expressions include algebraic expressions and transcendental expressions. Partial fractions are also within the category of algebraic expressions. Today we're going to talk about exponential and logarithmic. They belong to the elementary transcendental expression in the analytic expression. Exponential and logarithmic expressions are closely related. It can be said that due to the development of the concept of exponent, the concept of logarithm was introduced. Let's look at the first question first. Extension of the concept of index.